The area bounded by the parabolas y = 9x^2, y = x^2 16 and the line y = 1 is

MHT CET 2025 Mathematics question

The area bounded by the parabolas , and the line is

(A) sq. units
(B) sq. unitsCorrect
(C) sq. units
(D) sq. units

Answer: (B)

Solution

The region lies between the two parabolas for and is symmetric about the y-axis. Express x in terms of y: and . The width at height y is \sqrt\frac\sqrt$

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Question ID VK-102860